分层Anderson模型的重整化群分析
Renormalization Group Analysis of the Hierarchical Anderson Model
摘要：
我们应用Feshbach-Krein-Schur重正化技术在分层Anderson模型中建立了一个标准的单站点分布，确保指数动力学本地化，以及积极的反参与比和泊松统计的特征值。我们的标准适用于所有情况下，指数衰减的层次跳跃强度和持有，甚至频谱维数$d > 2$，这对应于政权的瞬态的底层分层随机游走。这挑战了最近的数值研究结果，光谱维数是显着的安德森过渡而言。
英文摘要：
We apply Feshbach-Krein-Schur renormalization techniques in the hierarchical Anderson model to establish a criterion on the single-site distribution which ensures exponential dynamical localization as well as positive inverse participation ratios and Poisson statistics of eigenvalues. Our criterion applies to all cases of exponentially decaying hierarchical hopping strengths and holds even for spectral dimension $d > 2$, which corresponds to the regime of transience of the underlying hierarchical random walk. This challenges recent numerical findings that the spectral dimension is significant as far as the Anderson transition is concerned.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
